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Vincenzo Capasso


Vincenzo Capasso

Vincenzo Capasso

Universita' Degli Studi di Milano  ITALY

Full Professor (Probability and Mathematical Statistics) , Faculty of Sciences, University of Milano,Italy

Degrees: Advanced School of Physics, magna cum laude, University of Bari, Italy(1972). Physics, magna cum laude, University of Bari, Italy (1968).

Honours: Elected Fellow of the International Statistical Institute (1980-current), Elected Member of the European Academy of Sciences (2003-current), Honorary Doctoral Degree for Science ( Mathematics) in Science and Technology at the Lappeenranta University of Technology, Finland, (2008), Elected Fellow of the Institute of Mathematics and Applications (UK) (2011-current).

Other: Director of the Institute for Research in Applied Mathematics (IRMA), CNR, (Bari , 1985 - 1994), Founder and Director of MIRIAM (Milan Reserach Centre for Industrial and Applied Mathematics) (1999-2005) and later of ADAMSS (Research Centre for Advanced Applied Mathematical and Statistical Sciences) of the University of Milano.(2005-2007), President of ECMI (European Consortium for Mathematics in Industry) (2000-2001), President of the European Society for Mathematical and Theoretical Biology (2000-2002), President of the European Academy of Sciences (EURASC) (2011-2012)
Editorial board (selected): ECMI Book Series on Mathematics in Industry , Editor in Chief, Springer-Verlag (2000-current), Journal for Mathematics in Industry, Editor in Chief, Springer , (2011-current)


Project: In life sciences, and material science, self-organization may happen at any scale. Patterns are usually explained as consequences of collective behaviour in individual based models.

This project aims at developing the theme of individual-to-population connection in specific areas such as vasculogenesis in biology, and aggregates in material science.
Two different approaches may describe the system at different scales: the finer-scale description is based on the possibly stochastic behaviour of individuals (microscale -Lagrangian approach), and the larger-scale description is based on the (continuum) behaviour of population densities (macroscale - Eulerian continuum approach). The central problem is to determine how information is transferred across scales.
By applying suitable laws of large numbers at an intermediate scale (mesoscale), we may obtain a deterministic mean-field approximation of the underlying fields responsible for driving the kinetics at the microscale. We expect that the resulting equations will consist of nonlinear reaction-diffusion systems with variable stochastic geometries.

Stay period: ENE 2014 - JUN 2014